146164500 has 168 divisors, whose sum is σ = 479809512. Its totient is φ = 38880000.

The previous prime is 146164493. The next prime is 146164507. The reversal of 146164500 is 5461641.

146164500 is a `hidden beast` number, since 1 + 4 + 616 + 45 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (146164493) and next prime (146164507).

It can be written as a sum of positive squares in 4 ways, for example, as 2452356 + 143712144 = 1566^2 + 11988^2 .

It is a super-3 number, since 3×146164500³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146164507) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 364300 + ... + 364700.

It is an arithmetic number, because the mean of its divisors is an integer number (2856009).

Almost surely, 2^146164500 is an apocalyptic number.

146164500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146164500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239904756).

146164500 is an abundant number, since it is smaller than the sum of its proper divisors (333645012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146164500 is an equidigital number, since it uses as much as digits as its factorization.

146164500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 146164500 is about 12089.8511157086. The cubic root of 146164500 is about 526.7614305436.

The spelling of 146164500 in words is "one hundred forty-six million, one hundred sixty-four thousand, five hundred".